### Different shapes and Origami (The World of 2-dimension)

(4) Fold the Origami into γa(root a)

We know Origami isn't just a craft to make models.
Now, we are challenged to get an irrational number by using Origami.
Use your brain and fingers, of course!!

I bet you can do it!! (Do you think it's possible?)

Folding γa(root a)

Apply this method, then you get the γ2~γ8 ,by using folding Origami. The one side will be 2 in length conditionally.

You apply the theorem of Pythagoras:
You can find the length of γ2 Ιγ8 from the side of the right triangle.

@< Folding γ2 >@@@@@@ < Folding γ3>

@@@@@@

<Folding γ4=2>@@@@@@Folding γ5 @@@@@@@@@
@@@@@@

#### @@

@@@@@@@@@@@Folding γ6

@@

@@< Folding γ7 (after Folding γ3)>

@@Folding γ8

@@

@

We have never thought of folding Origami to produce the irrational numbers, have we? Even Pythagoras must be surprised with this.
You've got to understand the theorem of PythagorasΙright??

@ @

@areasolid